{"product_id":"ontology-and-the-foundations-of-mathematics","title":"Ontology and the Foundations of Mathematics","description":"\u003cp\u003eThis Element looks at the problem of inter-translation between mathematical realism and anti-realism and argues that so far as realism is inter-translatable with anti-realism, there is a burden on the realist to show how her posited reality differs from that of the anti-realist. It also argues that an effective defence of just such a difference needs a commitment to the independence of mathematical reality, which in turn involves a commitment to the ontological access problem – the problem of how knowable mathematical truths are identifiable with a reality independent of us as knowers. Specifically, if the only access problem acknowledged is the epistemological problem – i.e. the problem of how we come to know mathematical truths – then nothing is gained by the realist notion of an independent reality and in effect, nothing distinguishes realism from anti-realism in mathematics.\u003c\/p\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":56669793976706,"sku":"9781108716932","price":18.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/files\/9781108716932i.jpg?v=1779713722","url":"https:\/\/www.cambridgebookshop.co.uk\/products\/ontology-and-the-foundations-of-mathematics","provider":"Cambridge University Press Bookshop","version":"1.0","type":"link"}